Step
*
of Lemma
nth-nats
No Annotations
∀n:ℕ. (s-nth(n;nats()) ~ n)
BY
{ ((Unfold `nats` 0 THEN Auto)
THEN Assert ⌜∀i:ℤ. (s-nth(n;mk-stream(λx.(x + 1);i)) = (n + i) ∈ ℤ)⌝⋅
THEN Try (TACTIC:(RWO "-1" 0 THEN Auto))) }
1
.....assertion.....
1. n : ℕ
⊢ ∀i:ℤ. (s-nth(n;mk-stream(λx.(x + 1);i)) = (n + i) ∈ ℤ)
Latex:
Latex:
No Annotations
\mforall{}n:\mBbbN{}. (s-nth(n;nats()) \msim{} n)
By
Latex:
((Unfold `nats` 0 THEN Auto)
THEN Assert \mkleeneopen{}\mforall{}i:\mBbbZ{}. (s-nth(n;mk-stream(\mlambda{}x.(x + 1);i)) = (n + i))\mkleeneclose{}\mcdot{}
THEN Try (TACTIC:(RWO "-1" 0 THEN Auto)))
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